For the following questions answer them individually
If $$x=cosec\theta-sin\theta$$ and $$y=sec\theta-cos\theta$$, then the value of $$x2y2(x2 + y2 + 3)$$
If $$ 0 \leq \theta \leq \frac{\pi}{2}$$, $$2ycos\theta=sin\theta$$ and $$\frac{x}{2cosec\theta}=y$$, then the value of $$x^2-4y^2$$Â is
When the angle of elevation of the sun increases from 30$$^{\circ}$$ to 60$$^{\circ}$$ , the shadow of a post is diminished by 5 metres. Then the height of the post is
A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25$$^{\circ}$$ in a distance of 40 metres?
If $$sin\theta + \sin^2\theta = 1$$, then the value of cos12$$\theta$$ + 3cos10$$\theta$$ + cos6$$\theta$$ + Â 3cos8$$\theta$$Â - 1Â is
Directions : Population of the five adjacent areas of a town, in the year of 2020, are represented in the following Pie-chart. The ratio of the numbers of males to that of females in these areas are states in the table below. The total of the population in all the five areas is 72 lakh. Study the Pie-chart and the table and then answer the questions.
Ratio of number of males(M) to females(F)
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If, in the year 2010, there was an increase of 5% population in the areas S1 and 8% increase in population of the area S3 compared to the previous year, then the ratio of population in the areas S1 and S2, in the year 2009 was
The average of female population in all the five areas is lower than the female population in each of the areas